What is 415 percent of 2.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 2.5 is 100%, so we can write it down as 2.5=100%.
4. We know, that x is 415% of the output value, so we can write it down as x=415%.
5. Now we have two simple equations:
1) 2.5=100%
2) x=415%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
2.5/x=100%/415%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 415% of 2.5

2.5/x=100/415
(2.5/x)*x=(100/415)*x       - we multiply both sides of the equation by x
2.5=0.24096385542169*x       - we divide both sides of the equation by (0.24096385542169) to get x
2.5/0.24096385542169=x
10.375=x
x=10.375

now we have:
415% of 2.5=10.375